Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T07:22:24.187Z Has data issue: false hasContentIssue false

The interaction of turbulence and pressure gradients in a baffle-stabilized premixed flame

Published online by Cambridge University Press:  21 April 2006

M. V. Heitor
Affiliation:
Department of Mechanical Engineering, Imperial College, London SW7 2BX, UK
A. M. K. P. Taylor
Affiliation:
Department of Mechanical Engineering, Imperial College, London SW7 2BX, UK
J. H. Whitelaw
Affiliation:
Department of Mechanical Engineering, Imperial College, London SW7 2BX, UK

Abstract

Simultaneous measurements of time-resolved velocity and temperature have been obtained by laser-Doppler anemometry and numerically compensated fine-wire thermocouples in the near wake of a premixed flame stabilized on a disk baffle located on the axis, and at the exit, of a confining pipe. The diameter of the disk was 0.056 m, the diameter of the pipe was 0.080 m, the volumetric equivalence ratio with natural gas as the fuel was 0.79 and the Reynolds number, based on pipe diameter and upstream pipe bulk velocity of 9 m/s, was 46 800. The purpose of the measurements is to quantify the relative magnitudes of terms involving the mean pressure gradient and Reynolds stresses in the balance of turbulent kinetic energy and heat flux in a strongly sheared, high-Reynolds-number, reacting flow. The latter term has been associated with non-gradient diffusion in other flows. Source terms involving the mean pressure gradient are large in the conservation of turbulent heat flux but not in the conservation of Reynolds stress. The ‘thin-flame’ model of burning suggests that the sign and magnitude of the heat flux is closely related to the conditioned mean velocities. The mean axial velocity of the reactants is larger (by up to 0.27 of the reference velocity) than that of the products on the low-velocity side of the shear layer that surrounds the recirculation bubble but the reverse is true on the high-velocity side. These observations are related to the sign of the axial pressure gradient, which is associated with the streamline curvature, and the consequent preferential acceleration of the low-density products. Generally, the Reynolds stresses of the products are higher than those of the reactants and, in contrast to previously reported measurements, the contribution to the unconditioned stresses by the difference in the mean velocity between products and reactants, the so-called ‘intermittent’ contribution, is small. This is a consequence of the high Reynolds number of our flow.

Type
Research Article
Copyright
© 1987 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abraham, J., Williams, F. A. & Bracco, F. V. 1985 A discussion of turbulent flame structure in premixed charges. SAE, p-156: Intl Cong. and Exp. on Engine combustion analysis-new approaches, Detroit, Michigan, Feb./March, 1985, pp. 2742.
Bill, R. G., Namer, I., Talbot, L. Cheng, R, K. & Robben, F. 1982 Density fluctuations of flames in grid-induced turbulence. Combust. Flame 44, 277285.Google Scholar
Ballantyne, A., Boon, D. J. & Moss, J. B. 1976 Measurements of fluctuating temperature on open diffusion flames employing fine wire thermocouples. Mem. 76/3. Department of Aeronautics and Astronautics, University of Southampton.
Bradbury, L. J. S. 1976 Measurements with a pulsed-wire and a hot-wire anemometer in the highly turbulent wake of a normal flat plate. J. Fluid Mech. 77, 473497.Google Scholar
Bradley, D. & Matthews, K. I. 1968 Measurements of high gas temperature with fine wire thermocouple. J. Mech. Engng Sci. 10, 299305.Google Scholar
Bradshaw, P., Ferriss, D. H. & Atwell, N. P. 1967 Calculation of boundary layer development using the turbulent energy equation. J. Fluid Mech. 28, 593616.Google Scholar
Bradshaw, P. & Wong, F. Y. F. 1972 The reattachment and relaxation of a turbulent shear layer. J. Fluid Mech. 52, 113135.Google Scholar
Bray, K. N. C. 1980 Turbulent flows with premixed reactants. In Turbulent Reacting Flows (ed. P. A. Libby & F. A. Williams), pp. 115183. Springer.
Bray, K. N. C., Libby, P. A., Masuya, G. & Moss, J. B. 1981 Turbulence production in premixed turbulent flames. Combust. Sci. Tech. 25, 127140.Google Scholar
Bray, K. N. C., Libby, P. A. & Moss, J. B. 1985 Unified modelling approach for premixed turbulent combustion - Part I: General formulation. Combust. Flame 61, 87102.Google Scholar
Carmody, T. 1964 Establishment of the wake behind a disc. Trans. ASME D: J. Basic Engng 86, 869882Google Scholar
Castro, I. P. 1985 Time-domain measurements in separated flows. J. Fluid Mech. 150, 183201.Google Scholar
Castro, I. P. & Bradshaw, P. 1976 The turbulence structure of a highly curved mixing layer. J. Fluid Mech. 73, 265304.Google Scholar
Chandrsuda, C. & Bradshaw, P. 1981 Turbulence structure of a reattaching mixing layer. J. Fluid Mech. 110, 171194.Google Scholar
Cheng, R. K. 1984 Conditional sampling of turbulence intensities and Reynolds stresses in a premixed turbulent flame. Combust. Sci. Tech. 41, 109142.Google Scholar
Cheng, R. K. & No, T. T. 1983 Velocity statistics in premixed turbulent flames. Combust. Flame 52, 185202.Google Scholar
Cheng, R. K., Talbot, L. & Robben, F. 1984 Conditional velocity statistics in premixed CH4-air, C2H4-air turbulent flames. The 20th Symp. (Intl) on Combustion, pp. 453463. The Combustion Institute, Pittsburgh, PA 15213.
Chevray, R. & Tutu, N. K. 1978 Intermittency and preferential transport of heat in a round jet. J. Fluid Mech. 88, 133160.Google Scholar
Clare, H., Durão, D. F. G., Melling, A. & Whitelaw, J. H. 1976 Investigation of a V-gutter stabilised flame by laser anemometry and schlieren photography. AGARD-CP-19, Paper No. 26.
Collis, D. C. & Williams, M. J. 1959 Two dimensional convection from heated wires at low Reynolds number. J. Fluid Mech. 6, 357384.Google Scholar
Dakos, T., Verriopoulos, C. A. & Gibson, M. M. 1984 Turbulent flow with heat transfer in plane and curved wall jets. J. Fluid Mech. 145, 339360.Google Scholar
Driscoll, J. F., Schefer, R. W. & Dibble, R. W. 1982 Mass fluxes and measured in a turbulent nonpremixed flame. 19th Symp. (Intl) on Combustion, pp. 477485. The Combustion Institute, Pittsburgh, PA 15213.
Driver, D. M. & Seegmiller, H. L. 1982 Features of a reattaching turbulent shear layer subject to an adverse pressure gradient. AIAA J. 23, 163171.Google Scholar
DurÃo, D. F. G., Durst, F. & Firmino, F. J. C. 1984 Velocity characteristics of the flow around cones. 2nd Intl Symp. on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, July 1984, paper 15.2.
DurÃo, D. F. G. & Whitelaw, J. H. 1978 Velocity characteristics of the flow in the near wake of a disk. J. Fluid Mech. 85, 369385.Google Scholar
Durst, F. & Kleine, R. 1973 Geschwindigskeitsmessungen in Turbulenten Vormischflammen mitels Laserstrahl-anemometer. Gas Waerme International 22, 484492.Google Scholar
Etheridge, D. W. & Kemp, P. H. 1978 Measurements of turbulent flow downstream of a rearward-facing step. J. Fluid Mech. 86, 545566.Google Scholar
Fujii, S. & Eguchi, K. 1981 A comparison of cold and reacting flows around a bluff-body flame stabilizer. AIAA J. 19, 14381442.Google Scholar
Fujii, S., Gomi, M. & Eguchi, K. 1978 Cold flow tests of a bluff body flame stabilizer. Trans. ASME I: J. Fluids Engng 100, 232332Google Scholar
Gibson, M. M. & Verriopoulos, C. 1984 Turbulent boundary layer on a mildly curved convex surface. Part 2: Temperature field measurements. Exp. Fluids 2, 7380.Google Scholar
Glass, M. & Bilger, R. W. 1978 The turbulent jet diffusion flame in a co-flowing stream - some velocity measurements. Combust. Sci. Tech. 18, 165177.Google Scholar
Harsha, P. T. & Lee, S. C. 1970 Correlation between turbulent shear stress and turbulent kinetic energy. AIAA J. 8, 15081510.Google Scholar
Heitor, M. V. 1985 Experiments in turbulent reacting flows. PhD thesis, University of London.
Heitor, M. V., Taylor, A. M. K. P. & Whitelaw, J. H. 1984 Influence of confinement on combustion instabilities of premixed flames stabilised on axisymmetric baffles. Combust. Flame 57, 109121.Google Scholar
Heitor, M. V., Taylor, A. M. K. P. & Whitelaw, J. H. 1985 Simultaneous velocity and temperature measurements in a premixed flame. Exp. Fluids, 3, 323339. Also, Proc. ASME 105th Ann. Winter Meeting, New Orleans, 9–13 Dec. 1984.Google Scholar
Johnson, B. V. & Bennett, J. C. 1983 Mass and momentum turbulent transport experiments with confined co-axial jets. Proc. 4th Symp. on Turbulent Shear Flows, pp. 18.4–18.19. Karlsruhe 1983. Springer.
Kim, J., Kline, S. J. & Johnston, J. P. 1978 Investigation of a reattaching turbulent shear layer: flow over a backward-facing step. Trans. ASME I: J. Fluids Engng 102, 302308Google Scholar
Libby, P. A. 1985 Theory of normal premixed turbulent flames revisited. Prog. Energy Combust. Sci. 11, 8396.Google Scholar
Maclennan, A. S. M. & Vincent, J. H. 1982 Transport in the near aerodynamic wakes of flat plates. J. Fluid Mech. 120, 185197.Google Scholar
Mcguirk, J. J., Papadimitriou, C. & Taylor, A. M. K. P. 1985 Reynolds stress model calculations of two-dimensional plane and axisymmetric recirculating flows. 5th Symp. on Turbulent Shear flows, Cornell, 1985.
Mcguirk, J. J., Taylor, A. M. K. P. & Whitelaw, J. H. 1982 An assessment of numerical diffusion in upwind difference calculations of turbulent recirculating flows. In Turbulent Shear Flows, vol. 3 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 206224, Springer.
Mclaughlin, D. K. & Tiederman, W. G. 1973 Biasing correction for individual realisation of laser anemometer measurements in turbulent flows. Phys. Fluids 16, 20822088.Google Scholar
Masuya, G. & Libby, P. A. 1981 Non-gradient theory for oblique turbulent flames with premixed reactants. AIAA J. 19, 15901599.Google Scholar
Moffat, R. J. 1958 Designing thermocouples for response rate. Trans. ASME 80, 257262.Google Scholar
Moss, J. B. 1980 Simultaneous measurements of concentration and velocity in an open turbulent flame. Combust. Sci. Tech. 22, 119129.Google Scholar
Pronchick, S. W. & Kline, S. J. 1983 An experimental investigation of the structure of a turbulent reattaching flow behind a backward-facing step. Rep. MD-42, Thermoscience Division, Dept. Mech. Engng, Stanford University, Stanford, California.
Ribeiro, M. M. & Whitelaw, J. H. 1980a The structure of turbulent jets. Proc. R. Soc. Lond. A 370, 281301.Google Scholar
Ribeiro, M. M. & Whitelaw, J. H. 1980b Coaxial jets with and without swirl. J. Fluid Mech. 96, 769775.Google Scholar
Shepherd, I. G. & Moss, J. B. 1981 Measurements of conditioned velocities in a turbulent premixed flame. AIAA J. 20, 566569.Google Scholar
Shepherd, I. G. & Moss, J. B. 1983 Characteristic scales for density fluctuations in a turbulent premixed flame. Combust. Sci. Tech. 33, 231243.Google Scholar
Shepherd, I. G., Moss, J. B. & Bray, K. N. C. 1982 Turbulent transport in a confined premixed flame. 19th Symp. (Intl) on Combustion, pp. 423431. The Combustion Institute, Pittsburgh, PA 15213.
Stårner, S. H. 1983 Joint measurements of radial velocity and scalars in turbulent diffusion flame. Combust. Sci. Tech. 30, 145169.Google Scholar
Stårner, S. H. & Bilger, R. W. 1980 LDA measurements in a turbulent diffusion flame with axial pressure gradient. Combust. Sci. Tech. 21, 259276.Google Scholar
Stårner, S. H. & Bilger, R. W. 1981 Measurement of scalar-velocity correlations in a turbulent diffusion flame. In Proc. 18th Symp. (Intl) on Combustion, pp. 921930. The Combustion Institute, Pittsburgh, PA 15213.
Tanaka, H. & Yanagi, T. 1983 Cross-correlation of velocity and temperature in a premixed turbulent flame. Combust. Flame 51, 183191.Google Scholar
Taylor, A. M. K. P. & Whitelaw, J. H. 1980 Velocity and temperature measurements in a premixed flame within an axisymmetric combustor. AGARD-CP-281, Paper No. 14.
Taylor, A. M. K. P. & Whitelaw, J. H. 1984 Velocity characteristics in the turbulent near wake flows of confined axisymmetric bluff bodies. J. Fluid Mech. 139, 391416.Google Scholar
Tennekes, H. & Lumley, J.L. 1972 A First Course in Turbulence. The MIT Press.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow (2nd edn). Cambridge University Press.
Vinckier, J. & van Tiggelen, A. 1968 Structure and burning velocity of turbulent premixed flames. Combust. Flame 12, 561568.Google Scholar
Westenberg, A. A., Berl, W. G. & Rice, J. G. 1955 Studies of flow and mixing in the recirculation zone of baffle-type flameholders. Proc. Gas Dynamics on Aerothermochemistry, Northwestern Univ., August 1955, pp. 211219.
Williams, F. A. 1984 Some aspects of the interaction between turbulent flows and combustion processes. Eastern States Section, The Combustion Institute, Dec., 1984.
Winterfeld, G. 1965 On processes of turbulent exchange behind flame holders. 10th Symp. (Intl) on Combustion, pp. 12651275. The Combustion Institute, Pittsburgh, PA 15213.
Wood, D. H. & Bradshaw, P. 1982 A turbulent mixing layer constrained by a solid surface. Part 1. Measurements before reaching the surface. J. Fluid Mech. 122, 5789.Google Scholar
Yanta, W. J. & Smith, R. A. 1978 Measurements of turbulence-transport properties with a laser-Doppler velocimeter. AIAA paper no. 73–169, presented at 11th Aerospace Science Meeting, Washington.
Yoshida, A. 1981 Experimental study of wrinkled laminar flame. 18th Symp. (Intl) on Combustion, pp. 931939. The Combustion Institute, Pittsburgh, PA 15213.